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Finding the Fourth Proportional to 52,670.39, 79,036.78 and 19,413.82

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Solution

The fourth proportional to 52,670.39, 79,036.78 and 19,413.82 is: 29,132.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,670.39 : 79,036.78 = 19,413.82 : x
  2. Step 2: Convert to fraction form
    52,670.39/79,036.78 = 19,413.82/x
  3. Step 3: Cross multiply
    52,670.39x = 79,036.78 × 19,413.82
  4. Step 4: Simplify right side
    52,670.39x = 1,534,405,574.17
  5. Step 5: Solve for x
    x = 1,534,405,574.17/52,670.39
  6. Step 6: Final answer
    x = 29,132.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.